Algebra 1 Notes P49 111 Measures of Center and...

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A1S111MeasuresOfCenterAndVariation.notebook 1 May 04, 2017 Nov 2010:10 AM Algebra 1 Notes P49 111 Measures of Center and Variation Nov 2111:40 AM

Transcript of Algebra 1 Notes P49 111 Measures of Center and...

Page 1: Algebra 1 Notes P49 111 Measures of Center and Variationstaffweb.psdschools.org/eharding/Alg1S/Unit11/A1S11-1MeasuresOf… · Nov 2111:40 AM. A1S111MeasuresOfCenterAndVariation.notebook

A1S11­1MeasuresOfCenterAndVariation.notebook

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May 04, 2017

Nov 20­10:10 AM

Algebra 1 Notes

P49 11­1 Measures of Center and Variation

Nov 21­11:40 AM

Page 2: Algebra 1 Notes P49 111 Measures of Center and Variationstaffweb.psdschools.org/eharding/Alg1S/Unit11/A1S11-1MeasuresOf… · Nov 2111:40 AM. A1S111MeasuresOfCenterAndVariation.notebook

A1S11­1MeasuresOfCenterAndVariation.notebook

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May 04, 2017

Sep 6­8:02 AM

Measures of Central Tendency

Mean ­ Average

Median ­ Order Numbers(Number in the Middle or Mean of two Middle Numbers)

Mode ­ Most Frequent3 is the modeBiModal ­ Data with 2 different Modes

2,3,3,4,5,6,8,9

= 40/8 = 5

= 4 + 5 = 9 9/2 = 4.5

Nov 21­11:40 AM

If No Outlier is in Data Use Mean...

Page 3: Algebra 1 Notes P49 111 Measures of Center and Variationstaffweb.psdschools.org/eharding/Alg1S/Unit11/A1S11-1MeasuresOf… · Nov 2111:40 AM. A1S111MeasuresOfCenterAndVariation.notebook

A1S11­1MeasuresOfCenterAndVariation.notebook

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May 04, 2017

Nov 21­11:41 AM

If Outlier is in Data Use Median...

Nov 21­11:41 AM

If you want Most Popular use Mode...

Page 4: Algebra 1 Notes P49 111 Measures of Center and Variationstaffweb.psdschools.org/eharding/Alg1S/Unit11/A1S11-1MeasuresOf… · Nov 2111:40 AM. A1S111MeasuresOfCenterAndVariation.notebook

A1S11­1MeasuresOfCenterAndVariation.notebook

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Nov 21­11:41 AM

If you want "Variation" of the Data...

Example 1

An amusement park hires students for the summer. 

The students’ hourly wages are shown in the table.

a. Find the mean, median, and mode of the hourly wages.

b. Which measure of center best represents the data? Explain.

Page 5: Algebra 1 Notes P49 111 Measures of Center and Variationstaffweb.psdschools.org/eharding/Alg1S/Unit11/A1S11-1MeasuresOf… · Nov 2111:40 AM. A1S111MeasuresOfCenterAndVariation.notebook

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May 04, 2017

Monitoring Progress 2

The table shows the annual salaries of the employees of an auto repair service.

(a) Identify the outlier. 

How does the outlier affect the 

mean, median, and mode?

(b) Describe one possible explanation for the outlier.

Nov 29­8:08 AM

3,4,5,6,7,7,8,9,9,10,11,12,14,16,18

Measures of Variation

Page 6: Algebra 1 Notes P49 111 Measures of Center and Variationstaffweb.psdschools.org/eharding/Alg1S/Unit11/A1S11-1MeasuresOf… · Nov 2111:40 AM. A1S111MeasuresOfCenterAndVariation.notebook

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Example 3

Two reality cooking shows select 12 contestants each. The ages of the contestants are shown in the tables. Find the range of the ages for each show. Compare your results.

Jan 20­8:25 AM

Standard Deviations

3,4,5,6,7,7,8,9,9,10,11,12,14,16,18Measures of Variation

Page 7: Algebra 1 Notes P49 111 Measures of Center and Variationstaffweb.psdschools.org/eharding/Alg1S/Unit11/A1S11-1MeasuresOf… · Nov 2111:40 AM. A1S111MeasuresOfCenterAndVariation.notebook

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May 04, 2017

Apr 27­9:32 AM

Standard Deviation

Jan 20­8:25 AM

Measures how much values in a data set vary, or Deviate, from the mean...

Standard Deviation

Lower­case Sigma

Page 8: Algebra 1 Notes P49 111 Measures of Center and Variationstaffweb.psdschools.org/eharding/Alg1S/Unit11/A1S11-1MeasuresOf… · Nov 2111:40 AM. A1S111MeasuresOfCenterAndVariation.notebook

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Nov 20­10:14 AM

HW #6111­1 P590 #5­9,11­15,19­22  

Please put your name and class period at the top of the homework.Also include the homework number.

Core Concept

Page 9: Algebra 1 Notes P49 111 Measures of Center and Variationstaffweb.psdschools.org/eharding/Alg1S/Unit11/A1S11-1MeasuresOf… · Nov 2111:40 AM. A1S111MeasuresOfCenterAndVariation.notebook

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May 04, 2017

Core Concept

Core Concept

Page 10: Algebra 1 Notes P49 111 Measures of Center and Variationstaffweb.psdschools.org/eharding/Alg1S/Unit11/A1S11-1MeasuresOf… · Nov 2111:40 AM. A1S111MeasuresOfCenterAndVariation.notebook

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Monitoring Progress 6

Find the mean, median, mode, range, and standard deviation of the 

altitudes of the airplanes when each altitude increases by 1    miles.